题目
Write a program to check whether a given number is an ugly number.
Ugly numbers are positive numbers whose prime factors only include 2, 3, 5
. For example, 6, 8
are ugly while 14
is not ugly since it includes another prime factor 7
.
Note that 1
is typically treated as an ugly number.
代码
1.
public boolean isUgly(int num) {
if(num <= 0){ return false;}
if(num == 1 || num == 2 || num == 3 || num == 5){return true;}
while(num >= 2){
if(num % 2 !=0){
break;
}
else {
num = num /2;
}
}
if(num == 1){
return true;
}else{
while(num >= 3){
if(num % 3 !=0){
break;
}else{
num = num/3;
}
}
if(num ==1){
return true;
}else{
while(num >=5){
if(num % 5 !=0){
break;
}else{
num = num/5;
}
}
}
if(num == 1){
return true;
}
}
return false;
}
2.
public boolean isUgly(int num) {
if(num <= 0){
return false;
}
if(num == 1){
return true;
}
if( num % 2 == 0 ){
return isUgly(num/2);
}
if(num % 3 == 0){
return isUgly(num/3);
}
if(num % 5 == 0){
return isUgly(num /5);
}
return false;
}